Abstract:
The consequences escort of averaging of Tsallis–Mendes–Plastino (TMP) of microscopic dynamic quantities in non-additive statistics of Tsallis and its formal and practical value in modeling various q-systems are analyzed. It is shown that, depending on the method for determining the average values of dynamic quantities, various versions of generalized equilibrium thermodynamics are possible and their comparative analysis is given. Conditions are found for performing the Legendre transformation using the concept of physical temperature. The modified thermodynamic relationships in the TMP statistics are considered. The method of optimized Lagrange multipliers is discussed, which allows eliminating some problems of TMP statistics.
Citation:
A. V. Kolesnichenko, “To the construction of the thermodynamics of non-additive media on the basis of the statistics of Tsallis–Mendes–Plastino”, Keldysh Institute preprints, 2018, 023, 28 pp.
\Bibitem{Kol18}
\by A.~V.~Kolesnichenko
\paper To the construction of the thermodynamics of non-additive media on the basis of the statistics of Tsallis--Mendes--Plastino
\jour Keldysh Institute preprints
\yr 2018
\papernumber 023
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp2385}
\crossref{https://doi.org/10.20948/prepr-2018-23}
\elib{https://elibrary.ru/item.asp?id=32517926}
Linking options:
https://www.mathnet.ru/eng/ipmp2385
https://www.mathnet.ru/eng/ipmp/y2018/p23
This publication is cited in the following 13 articles:
Citation in format AMSBIB
Contact us: